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Finding the Fourth Proportional to 27,714.90, 38,249.61 and 15,776.31

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Solution

The fourth proportional to 27,714.90, 38,249.61 and 15,776.31 is: 21,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.90 : 38,249.61 = 15,776.31 : x
  2. Step 2: Convert to fraction form
    27,714.90/38,249.61 = 15,776.31/x
  3. Step 3: Cross multiply
    27,714.90x = 38,249.61 × 15,776.31
  4. Step 4: Simplify right side
    27,714.90x = 603,437,789.01
  5. Step 5: Solve for x
    x = 603,437,789.01/27,714.90
  6. Step 6: Final answer
    x = 21,773.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.